101431344 has 80 divisors (see below), whose sum is σ = 301948928. Its totient is φ = 28740096.

The previous prime is 101431313. The next prime is 101431397. The reversal of 101431344 is 443134101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101431344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41484 + ... + 43860.

Almost surely, 2^101431344 is an apocalyptic number.

101431344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150974464).

101431344 is an abundant number, since it is smaller than the sum of its proper divisors (200517584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101431344 is a wasteful number, since it uses less digits than its factorization.

101431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 101431344 is about 10071.3129233482. The cubic root of 101431344 is about 466.3629706584.

Adding to 101431344 its reverse (443134101), we get a palindrome (544565445).

The spelling of 101431344 in words is "one hundred one million, four hundred thirty-one thousand, three hundred forty-four".